@article{EJP3062,
author = {Anne-Laure Basdevant and Nathanaël Enriquez and Lucas Gerin and Jean-Baptiste Gouéré},
title = {The shape of large balls in highly supercritical percolation},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
keywords = {first-passage percolation; supercritical percolation; TASEP},
abstract = {We exploit a connection between distances in the infinite percolation cluster, when the parameter is close to one, and the discrete-time TASEP on Z. This shows that when the parameter goes to one, large balls in the cluster are asymptotically shaped near the axes like arcs of parabola.},
pages = {no. 26, 1-14},
issn = {1083-6489},
doi = {10.1214/EJP.v19-3062},
url = {http://ejp.ejpecp.org/article/view/3062}}